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Finding the Third Proportional to 232,486.45 and 350,440.17

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Solution

The third proportional to 232,486.45 and 350,440.17 is: 528,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,486.45 : 350,440.17 = 350,440.17 : x
  2. Step 2: Convert to fraction form
    232,486.45/350,440.17 = 350,440.17/x
  3. Step 3: Cross multiply
    232,486.45x = 350,440.17 × 350,440.17
  4. Step 4: Simplify right side
    232,486.45x = 122,808,314,063.78
  5. Step 5: Solve for x
    x = 122,808,314,063.78/232,486.45
  6. Step 6: Final answer
    x = 528,238.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.